A study on the latest fad diet claimed that the amounts of weight lost by all people on this diet had a mean of 22.4 pounds and a standard deviation of 5.8 pounds. Step 1 of 2 : If a sampling distribution is created using samples of the amounts of weight lost by 73 people on this diet, what would be the mean of the sampling distribution of sample means? Round to two decimal places, if necessary.

Answers

Answer 1

Answer:

sampling distribution = 22.4

sampling deviation = 0.68

Step-by-step explanation:

Given that :

Mean , μ = 22.4

Standard deviation, σ = 5.8

n = 73

Therefore, the sampling distribution of the mean and the standard deviation is

[tex]$\mu_{\overline x} = 22.4$[/tex]

So, [tex]$\sigma_{\overline x}=\frac{\sigma}{\sqrt n}$[/tex]

            [tex]$=\frac{5.8}{\sqrt {73}}$[/tex]

          = 0.68

So the sampling distribution of the mean is 22.4

The standard deviation is 0.68


Related Questions

Two students were asked if they liked to read. Is this a good example of a
Yes, this is a good statistical question because a variety of answers
Yes, this is a good statistical question because there are not a varie
No, this is not a good statistical question because there are not a
No, this is not a good statistical question because there are a van

Answers

Answer:

C. No, this is not a good statistical question because there are not a.

Step-by-step explanation:

Because you need a big amount of people to ask for it to be a A good statistical question.

Your welcome! Please mark brainliest!

(Or please correct me if I'm wrong)

Automated manufacturing operations are quite precise but still vary, often with distribution that are close to Normal. The width in inches of slots cut by a milling machine follows approximately the N(1,0.001)N(1,0.001) distribution. The specifications allow slot widths between 0.999750.99975 and 1.000251.00025. What proportion of slots meet these specifications

Answers

Answer:

The answer is "15.85%"

Step-by-step explanation:

The complete question is defined in the attachment file please find it.

Given:

[tex]\mu = 1\\\\\sigma = 0.001 \\\\[/tex]

Converting the Standard Normal:

[tex]\to P(X < x) = P( Z < \frac{( X - \mu )}{\sigma} )\\\\\to P ( 0.9998 < X < 1.0002 ) = P ( Z < \frac{( 1.0002 - 1 )}{0.001}) - P ( Z < \frac{( 0.9998 - 1 )}{0.001})\\\\[/tex]

                                           [tex]= P ( Z < 0.2) - P ( Z < -0.2 )\\\\= 0.5793 - 0.4207\\\\= 0.1585\\\\= 15.85\%\\\\[/tex]

Can someone pls help me with these equations

Answers

Answer:

1. y = -2x+5

2. y = 3/4 - 3

3. intercept = -5 slope =  4/3

4. intercept = 1 slope = -1/2

Which is a function?
O {(-3,5), (1,4), (3,7), (1,7),(4,9)}
O {(7,9), (13,-2), (8,4), (7,0), (4,12)}
O {(2,1),(-1,7), (6,-2), (10,3), (-6,0)}
O {(-2,4), (7,4), (-6,8), (-2,8), (1,1)

Answers

C (the third one) {(2,1),(-1,7), (6,-2), (10,3),(-6,0)}
C is your correct answer, hope I could help!

3. Which of the following could represent the sides of a right triangle?
Hint: use a? + b2 = c2

Answers

My work to your question. I’m guessing this is the answer you’re looking for.

give the correct triangle congruence theorem

Answers

I think it’s A. Don’t hate if it’s wrong please!

Find the distance between the pair of points (3, 5) and (-3, 8)

Answers

Answer: 3

Step-by-step explanation:

A local cable TV/Internet/phone provider charges new customers $129 for all three services, per month, for the first year under their "3 for 129" promotion. Joanne normally
pays $74 for her monthly home phone service, $59 for Internet service, and $69 for cable television
a. What are her percent savings if she switches to the "3 for 1299 plan? Round to the nearest percent.
b. If, after the first year, the flat fee for all three services is $139, what are her percent savings? Round to the nearest percent.

Answers

Answer:

Step-by-step explanation:

Amount paid by Joanne before promotion = 74 + 59 + 69 = $ 202

a) Amount saved if she switches to "3 for 129 plan" = 202 - 129 = $ 73

Percentage of saving = [tex]\frac{73}{202}*100[/tex] = 36.13 = 36%

b) Amount saved after the first year = 202 - 139 = $ 63

Percentage of saving = [tex]\frac{63}{202}*100[/tex] = 31.18 = 31%

10. Which of these is NOT a perfect square?
a. 81
b. 100
C. X2
d. 42

Answers

Answer: 42 is not a square of a whole number

Step-by-step explanation: 81= 9², 100= 10², x²= x·x, 6²= 36 and 7²= 49

Is the following number rational, irrational, or nonreal.​

Answers

Answer:

nonreal of course......

Find mZDOC.
A)
22°
B)
44°
C)
107
D)
126

Answers

Answer: [tex]107^{\circ}[/tex]

Step-by-step explanation:

[tex]m\angle DOC=\frac{170+44}{2}=\boxed{107^{\circ}}[/tex]

Portions of three rectangles are shaded as shown. What is the area of the shaded region?
8 ft
10 ft
5 ft
12 ft
4 ft
Area of the Shaded Region:
square feet

Answers

Answer:

4ft

Step-by-step explanation:

Answer: 77ft

Step-by-step explanation:

Explain what median is and how to solve for it

Answers

The median is the middle value in the list of numbers. to find the median list your numbers from smallest to largest and find the middle!

Answer: See below

Step-by-step explanation:

Median is the value that separates the higher data and lower data. In simple terms, it is the "middle" value of the whole set of data. There are two different ways to solve for the median.

1. If the data set has an odd number of values, line the values up in increasing order. Then the value or number that lies in the middle will be the median.

For example, if we are given a data set {1, 3, 4, 2, 5}. First, we line them up by increasing order, which becomes {1, 2, 3, 4, 5}. Since it is an odd number set, we can directly get the median which is 3.

2. If the data set has an even number of values, line the values up in increasing order. Then there will be two number that lies in the "middle" together. We add them up and divide them by 2. The average of the two numbers will be the median of the set.

For example, if we are given a data set {2, 6, 4, 10, 8, 12}. First, we line them up by increasing order, which becomes {2, 4, 6, 8, 10, 12}. Since it is an even number set, we get our median from the two numbers in the middle, which are {6, 8}. We add them together to get 14 and then divide by 2 which is 7. So the median will be 7.

Hope this helps!! :)

Please let me know if you have any questions.


10. Type in the correct Inequality

Answers

Answer:

x > 8

Step-by-step explanation:

The open circle means that 8 is not included in the solution.

All values greater than 8 are included.

Answer: x > 8

Can someone please tell 5% as a fraction

Answers

Answer:

5/100 = 1/20

Step-by-step explanation:

5% = .05 = 5/100 = 1/20

Igor, whose eye height is 4.5 ft., wishes to find the height of an oak tree out in front of his castle. He places a mirror on the ground between himself and the tree. He is now 5.5 feet away from the center of the mirror and the mirrors is 70 feet from the tree. What is the height of the oak tree in front of Igor´s castle?



Please this is due in 15 minutes

Answers

the answer is 6.7



explanation : take 5.5 and add it from 6.7

PLEASE HELP
The Miller family spent a total of $317.05 hosting a party for their grandparents' 50th wedding anniversary. They spent $48.55 on decorations and $8.95 per person on food.

Which equation could be used to find the number of people (x) at the anniversary party?

A.
48.55 + 8.95x = 317.05
B.
48.55x + 8.95 = 317.05
C.
48.55x − 8.95 = 317.05
D.
48.55 − 8.95x = 317.05

Answers

the answer is A.
the decorations were a total of 48.55 , and we know that per person the cost is 8.95 , but since we don’t know how many people went , your variable would be attached there

Hi his figure is made up of unit cubes, each with a volume of 1 cubic unit.
What is the volume of the figure?
( photo is attached)
(Will give brainliest if you help)

Answers

Answer:

D. 100 cubic units

Step-by-step explanation:

There are 10 cubes in each layer (count at the top) and 10 layers (from top to bottom) in total. Multiply these to get volume.

10 x 10 =100

Answer:

B. 60 cubic units

Step-by-step explanation:

Formulas for a cube:

The volume of a cube:

V = a3

The surface area of a cube:

the area of each face (a x a) times 6 faces

S = 6a2

Face diagonal of a cube:

By the Pythagorean theorem, we know that

f2 = a2 + a2

Then f2 = 2a2

solving for f we get

f = a√2

Diagonal of the solid cube:

Again, by the Pythagorean theorem, we know that

d2 = a2 + f2

substituting f into this equation we get

d2 = a2 + (a√2)2 = a2 + 2a2 = 3a2

solving for d we get

d = a√3

Please help I’ll mark you as brainliest if correct

Answers

Answer:

I think it is 75

Step-by-step explanation:

because you divide 45 by 3 to get 15 then 15 x 5 is 75:)

75:45
Step-by-step explanation:
3*15=45
5*15=45

SOMEONE CAN HELP ME , PLEASE I NEED THIS NOW

Answers

You have 2 shapes, a rectangle and a half circle.

Area of rectangle = 3 x 8 = 24

Area of a half circle = 1/2 x pi x r^2

Area of half circle = 1/2 x 3.14 x 4^2

Area of half circle = 25.12

Total area = 24 + 25.12 = 49.12 square units

Answer:

You have 2 shapes, a rectangle and a half circle.

Area of rectangle = 3 x 8 = 24

Area of a half circle = 1/2 x pi x r^2

Area of half circle = 1/2 x 3.14 x 4^2

Area of half circle = 25.12

Total area = 24 + 25.12 = 49.12 square units

finished

Pls help mark brainlist

Answers

Answer:

176

Step-by-step explanation:

88 * 2 = 176

Write an equation in slope and intercept form of the line (0,4) and (2,0)

Answers

Answer:

y = -2x + 4

Step-by-step explanation:

1) First, find the slope of the line between the two points. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] and substitute the x and y values of (0,4) and (2,0) into it. Then, solve:

[tex]m = \frac{(0)-(4)}{(2)-(0)} \\m =\frac{0-4}{2-0} \\m = \frac{-4}{2} \\m = -2[/tex]

So, the slope is -2.

2) Now, identify the y-intercept of the line, or the point at which the line intersects the y-axis. All points on the y-axis have an x-value of 0. We're told that the line intersects (0,4), and that point has an x-value of 0. Thus, it must be the y-intercept.  

3) With the found information, write the equation of the line in slope-intercept form, represented by the equation [tex]y = mx + b[/tex]. The [tex]m[/tex] , or the coefficient of the x-term, represents the slope. So, substitute -2 in its place. The [tex]b[/tex] represents the y-intercept of the line, so substitute 4 in its place. This gives the following answer:

[tex]y = -2x + 4[/tex]

I need help with all of this

Answers

1. 286 ft
3. 289 ft

I don’t know the rest sry

Guys please tell me the answer

Answers

Answer:

from 10 - 15 bikes

Step-by-step explanation:

From 5-10 because most likely people will often buy 5 bike so the 400 will add up everytime someone buys it

Inscribed Angles B
Find each measure.
K
X=
6x
M
L

Answers

Answer:

x = 15

z = 25

Step-by-step explanation:

In [tex] \odot\: O, \: \angle MLK [/tex] is inscribed in a semicircle.

[tex] \therefore m\angle MLK =90\degree [/tex]

[tex] \therefore 6x\degree =90\degree [/tex]

[tex] \therefore 6x =90[/tex]

[tex] \therefore x =\frac{90}{6}[/tex]

[tex] \therefore x =15[/tex]

In [tex] \odot\: A, \: \angle PRQ[/tex] is inscribed in a semicircle.

[tex] \therefore m\angle PRQ =90\degree [/tex]

[tex] \therefore (4z-10)\degree =90\degree [/tex]

[tex] \therefore 4z-10 =90[/tex]

[tex] \therefore 4z =100[/tex]

[tex] \therefore z =\frac{100}{4}[/tex]

[tex] \therefore z =25[/tex]

Omar is born weighing 8 pounds,3 ounces.The doctor says he should gain a about 5 ounces each week for the next 4 weeks.How much should Omar weigh after 4 weeks?

Answers

start weight- 8.03
week 1 - 8.8
week 2 - 8.13
week 3 - 9.03
week 4 - 9.08

So, the Omar should weigh 9 pounds 8 ounces by the end of 4 weeks.

I hope this helped!

Whoever tells me the correct answer gets brainlest and thanks . please help me thanks!

Answers

Answer: Rectangle and Parallelogram

Step-by-step explanation:

Answer:

One could be a parallelogram that does not contain an internal right angle and the other a rectangle.  

Step-by-step explanation:

(3/4)(-4/3) = 0
True or False

Answers

Answer:

False

Step-by-step explanation:

(3/4)(-4/3)=-3/2

Answer:

true

Step-by-step explanation:

your welcome

help pleaseeeeeeeeeeeeeee

Answers

Answer:

C.30

Step-by-step explanation:

Its a pattern that increases by $5 as it goes down.

help help Find the surface area of the figure !

Answers

Answer: 340 in. squared

Step-by-step explanation:

17*7=119

15*7=105

8*7=56

8/2*15=60

119+105+56+60=340 in.^2

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